High order multiscale analysis of discrete integrable equations
| Autor: | Heredero, R. Hernandez, Levi, D., Scimiterna, C. |
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| Rok vydání: | 2013 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions given by the multiple scale expansion give rise to 4 nonlinear equations, 3 of which are new, depending at most on 2 parameters and containing integrable sub cases. Moreover at least one sub case provides an example of a new integrable system. Comment: 25 pages |
| Databáze: | arXiv |
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